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dc.contributor.advisor Angel, Y. C.
dc.creatorMcMahon, James Joseph
dc.date.accessioned 2009-06-04T00:20:05Z
dc.date.available 2009-06-04T00:20:05Z
dc.date.issued 1993
dc.identifier.urihttps://hdl.handle.net/1911/16651
dc.description.abstract To predict the growth of a crack in a body, Griffith introduced, for linear elastic materials, the concept of the energy release rate. According to this concept, crack growth occurs when the work done on a body by the applied surface tractions minus the increase in the strain energy of the body is equal to the energy required to break the material bonds in front of the crack. This approach has been widely accepted as a criterion for crack growth. For elastic-plastic materials, the concept of the energy release rate is not as well established. In this thesis, a general criterion for crack growth in elastic-plastic materials is proposed. A general constitutive theory is used, and a new work postulate, which imposes a finite limit on the amount of work that can be recovered from an elastic-plastic body, is proposed. For a certain class of elastic-plastic materials, this finite limit is directly related to a potential function. Next, an elastic-plastic body containing an edge crack is considered, and an energy balance at the crack tip is derived. This energy balance states that quantities defined at the crack tip are equal to the sum of the rate of work of the applied surface tractions, the rate of recoverable work defined inside the body, and a term that is a measure of the rate of work dissipated by plastic deformations. Finally, an interpretation of each term in the energy balance is given, and the proposed criterion for crack growth is discussed. This new criterion takes into account the dissipative nature of plastic deformations.
dc.format.extent 157 p.
dc.format.mimetype application/pdf
dc.language.iso eng
dc.subjectMechanical engineering
Engineering
Materials science
Applied mechanics
dc.title Energy release rate in a cracked elastic-plastic solid
dc.type.genre Thesis
dc.type.material Text
thesis.degree.department Applied Mechanics
thesis.degree.discipline Engineering
thesis.degree.grantor Rice University
thesis.degree.level Doctoral
thesis.degree.name Doctor of Philosophy
dc.identifier.citation McMahon, James Joseph. "Energy release rate in a cracked elastic-plastic solid." (1993) Diss., Rice University. https://hdl.handle.net/1911/16651.


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